Find the side $ a $ of a pyramid if height $h = 10$ and slant height $s = 12.8$.
Answer
$a = 15.98$
Explanation
To find side $ a $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ h = 10 $ and $ s = 12.8 $ we have:
$$ 10^2 + \frac{ a^2 }{ 4 } = 12.8^2 $$ $$ \frac{ a^2 }{ 4 } = 12.8^2 - 10^2 $$ $$ \frac{ a^2 }{ 4 } = 163.84 - 100 $$ $$ a^2 = 63.84 \cdot 4 $$ $$ a^2 = 255.36 $$ $$ a = \sqrt{ 255.36 } $$$$ a = 15.98 $$This page was created using
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